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arXiv · 2106.13698

Generic identifiability of pairs of ternary forms

Valentina Beorchia·Francesco Galuppi
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Abstract

We prove that two general ternary forms are simultaneously identifiable only in the classical cases of two quadratic and a cubic and a quadratic form. We translate the problem into the study of a certain linear system on a projective bundle on the plane, and we apply techniques from projective and birational geometry to prove that the associated map is not birational.

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Valentina Beorchia, Francesco Galuppi. 2022-05-09. Generic identifiability of pairs of ternary forms. https://doi.org/10.1007/s13348-022-00363-8

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